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Pricing, Market Power, And Friction In A Finite Market: The Role Of Capacities

Author

Listed:
  • Ruslan Shavshin

    (National Research University Higher School of Economics)

  • Marina Sandomirskaia

    (National Research University Higher School of Economics)

Abstract

This paper proposes a model of a finite two-sided market with a limited arbitrary number of products per seller, where buyers are involved in a directed search for the appropriate purchase. The effect of friction, discovered for the models with a single product per seller, remains, though the competition intensifies. We derive an analytical formula for the case of an equal number of products for every seller and deduce that the equilibrium price decreases with the growth of availability and drops to marginal costs when two sellers are able to serve the whole set of buyers. However, the seller’s utility is a bell-shaped function of the number of products. This produces the controversial impact of market concentration on the various equilibrium characteristics. For the general model with different capacities across sellers, we formulate equilibrium conditions on prices, and clarify how the market power of a particular seller depends on its capacity. Numerical analysis is also applied to the related problem of endogenous capacities

Suggested Citation

  • Ruslan Shavshin & Marina Sandomirskaia, 2024. "Pricing, Market Power, And Friction In A Finite Market: The Role Of Capacities," HSE Working papers WP BRP 267/EC/2024, National Research University Higher School of Economics.
    • Handle: RePEc:hig:wpaper:267/ec/2024
    as

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    References listed on IDEAS

    as
    1. Geromichalos, Athanasios, 2012. "Directed search and optimal production," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2303-2331.
    2. Serene Tan, 2012. "Directed Search And Firm Size," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 95-113, February.
    3. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
    4. Lester, Benjamin, 2010. "Directed search with multi-vacancy firms," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2108-2132, November.
    5. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 163-179.
    6. Jacquet, Nicolas L. & Tan, Serene, 2012. "Wage-vacancy contracts and coordination frictions," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1064-1104.
    7. Randall Wright & Philipp Kircher & Benoît Julien & Veronica Guerrieri, 2021. "Directed Search and Competitive Search Equilibrium: A Guided Tour," Journal of Economic Literature, American Economic Association, vol. 59(1), pages 90-148, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    finite market; directed search; market inefficiency; market concentration; friction; quantity competition.;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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